Lax-Wendroff flux reconstruction method for hyperbolic conservation laws
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Publication:2162013
DOI10.1016/j.jcp.2022.111423OpenAlexW4284960082WikidataQ115571319 ScholiaQ115571319MaRDI QIDQ2162013
Arpit Babbar, Praveen Chandrashekar, Sudarshan Kumar Kenettinkara
Publication date: 5 August 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.02954
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
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Cites Work
- A simplified formulation of the flux reconstruction method
- On the non-linear stability of flux reconstruction schemes
- Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors
- A new class of high-order energy stable flux reconstruction schemes
- Runge-Kutta pairs of order \(5(4)\) satisfying only the first column simplifying assumption
- Insights from von Neumann analysis of high-order flux reconstruction schemes
- Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations
- An adaptive GRP scheme for compressible fluid flows
- A direct Eulerian GRP scheme for compressible fluid flows
- A numerical comparison of the Lax-Wendroff discontinuous Galerkin method based on different numerical fluxes
- A new Lax-Wendroff discontinuous Galerkin method with superconvergence
- A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magneto\-hydrodynamics
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- Approximate Riemann solvers, parameter vectors, and difference schemes
- The discontinuous finite element method with the Taylor-Galerkin approach for nonlinear hyperbolic conservation laws
- The Taylor-Galerkin discontinuous finite element method - an explicit scheme for nonlinear hyperbolic conservation laws
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Low-dissipative high-order shock-capturing methods using characteristic-based filters
- Restoration of the contact surface in the HLL-Riemann solver
- Two barriers on strong-stability-preserving time discretization methods
- ADER: Arbitrary high-order Godunov approach
- Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws
- An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
- ADER schemes for three-dimensional non-linear hyperbolic systems
- ADER schemes on adaptive triangular meshes for scalar conservation laws
- High-order Taylor-Galerkin methods for linear hyperbolic systems
- Semi-implicit Taylor-Galerkin finite element methods for incompressible viscous flows
- Efficient implementation of weighted ENO schemes
- Bounds for wave speeds in the Riemann problem: direct theoretical estimates
- Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions
- An order-adaptive compact approximation Taylor method for systems of conservation laws
- A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods
- A simplified Cauchy-Kowalewskaya procedure for the local implicit solution of generalized Riemann problems of hyperbolic balance laws
- On nodal point sets for flux reconstruction
- A new family of weighted one-parameter flux reconstruction schemes
- The flux reconstruction method with Lax-Wendroff type temporal discretization for hyperbolic conservation laws
- Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine
- On the behaviour of fully-discrete flux reconstruction schemes
- Error boundedness of discontinuous Galerkin methods with variable coefficients
- High-order flux reconstruction schemes with minimal dispersion and dissipation
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
- Solvers for the high-order Riemann problem for hyperbolic balance laws
- The discontinuous Galerkin method with Lax--Wendroff type time discretizations
- Building blocks for arbitrary high order discontinuous Galerkin schemes
- An extended range of stable-symmetric-conservative flux reconstruction correction functions
- Implicit high-order flux reconstruction solver for high-speed compressible flows
- Strong Stability-Preserving High-Order Time Discretization Methods
- Julia: A Fresh Approach to Numerical Computing
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- On Godunov-Type Methods for Gas Dynamics
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- One-Sided Difference Approximations for Nonlinear Conservation Laws
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A new direct higher-order Taylor-Galerkin finite element method
- On the Choice of Wavespeeds for the HLLC Riemann Solver
- Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- High-Resolution Conservative Algorithms for Advection in Incompressible Flow
- The Regionally Implicit Discontinuous Galerkin Method: Improving the Stability of DG-FEM
- The L$^2$-norm Stability Analysis of Runge--Kutta Discontinuous Galerkin Methods for Linear Hyperbolic Equations
- Stability analysis and error estimates of Lax–Wendroff discontinuous Galerkin methods for linear conservation laws
- An Alternative Formulation of Finite Difference Weighted ENO Schemes with Lax--Wendroff Time Discretization for Conservation Laws
- Systems of conservation laws
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Numerical Methods for Ordinary Differential Equations
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